Sadun's Generalised Pinwheels
A set of substitution rules constructed by generalisation of the Conway-Radin Pinwheel, by L. Sadun. The details of these rules can be found in [Sad98] .
This substitution tiling is the example of substitution tilings with infinite rotations. Its statistical and dynamical properties were studied in several papers by C. Radin, see for instance [Rad92] , [Rad97] . In particular, it was shown that the orientations of triangles in the pinwheel tiling are …
With Decoration Finite Local Complexity Saduns Generalised Pinwheels Polytopal Tiles Self Similar Substitution Mld Class Pinwheel Infinite Rotations
One member of an infinite series of tilings generated by a more general construction than a tile-substitution, [Sad98]. In particular, Sadun’s construction yields tilings with infinitely many prototiles, as well as with finitely many prototiles. Each tiling in this series is described by two …
Infinite Rotations Infinite Local Complexity Saduns Generalised Pinwheels Polytopal Tiles Self Similar Substitution
References
[Sad98]
Sadun, L.
Some generalizations of the pinwheel tiling
Discrete Comput. Geom.
1998,
20,1,
pp. 79–110,
1626703